Electron density of states for the free-electron model in one dimension

In the free electron model in one dimension, the density of states is,

and the Fermi energy is,

Here n is the one dimensional electron density.

D(E) [108 eV-1 m-1]

Energy [eV]

n = m-1  

 

E [eV]    D(E) [eV-1 m-1 ]